Results 91 to 100 of about 26,336 (246)
On the pulsating (m,c)-Fibonacci sequence. [PDF]
Heliyon, 2021 Laipaporn K +2 more
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On Period of the Sequence of Fibonacci Polynomials Modulo
Discrete Dynamics in Nature and Society, 2013 It is shown that the sequence obtained by reducing modulo coefficient and exponent of each Fibonacci polynomials term is periodic. Also if is prime, then sequences of Fibonacci polynomial are compared with Wall numbers of Fibonacci sequences according ...
İnci Gültekin, Yasemin Taşyurdu
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New Fibonacci-type pulsated sequences. Part 2 [PDF]
Notes on Number Theory and Discrete MathematicsA new Fibonacci sequence from a pulsated type is introduced. The explicit form of its members is given.
Lilija Atanassova, Velin Andonov
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Elementary sequences, sub-Fibonacci sequences
Discrete Applied Mathematics, 1993 A nondecreasing integer sequence \(x_ 1,x_ 2,\dots,x_ k\) with \(x_ 1=x_ 2=1\) and \(n \geq 2\) is said to be elementary if for all \(k \leq n\) \((x_ k>1 \Rightarrow x_ k=x_ i+x_ j\) for some \(i \neq j)\) and sub- Fibonacci if for all \(k \in \{3,\dots,n\}\) \((x_ k \leq x_{k-1}+x_{k- 2})\).
Fishburn, Peter C., Roberts, Fred S.
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A trick around Fibonacci, Lucas and Chebyshev
, 2013 In this article, we present a trick around Fibonacci numbers which can be found in several magic books. It consists in computing quickly the sum of the successive terms of a Fibonacci-like sequence.
Lachal, Aimé
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On the connections between Fibonacci and Mulatu Numbers
IntermathsIn this work, we present a detailed study of the Fibonacci--Mulatu sequence, {FMn}, defined recursively by FMn+2=FMn+1+FMn with initial terms FM0 = 4 and FM1 = 1.
Eudes Antonio Costa +2 more
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Recurrence algorithms of waiting time for the success run of length $k$ in relation to generalized Fibonacci sequences [PDF]
, 2022 Jung‐Taek Oh +2 more
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The structure of palindromes in the Fibonacci sequence and some applications [PDF]
, 2016 Yuke Huang, Zhi‐Ying Wen
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Tantalizing properties of subsequences of the Fibonacci sequence modulo 10 [PDF]
, 2021 Dan Guyer, Aba Mbirika, Miko Scott
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(±1)-Invariant sequences and truncated Fibonacci sequences
Linear Algebra and its Applications, 2005 Let \(P\) and \(D\) denote the Pascal matrix \(\bigl[\binom{i}{j}\bigr]\), (\(i,j=0,1,2,\dots\)) and the diagonal matrix \(\text{diag}((-1)^0,(-1)^1,(-1)^2,\dots)\), respectively. An infinite-dimensional real vector \(\mathbf x\) is called a \(\lambda\)-invariant sequence if \(PD\mathbf x=\lambda\mathbf x\).
Choi, Gyoung-Sik +3 more
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